Question

Help, please! :(

The line graph shows tuition amounts for a university for the years 1996 through 1999. Which of the following is a valid claim based on the graph?

(A): The greatest one-year increase in tuition occurred from 1997 to 1998.
(B): The rate of increase was the same from year to year.
(C): Tuition rates doubled between 1996 and 1999.
(D): Tuition rates will continue to increase over the next 5 years.

Answer 1

Answer:

A. The greatest one year increase in tuition ocurred from 1997 to 1998.

Step-by-step explanation:

If you look at the graph, at the points above 1997 and 1998, you'll see that the dots are separated by two lines, not just one.

Answer 2

The correct option is A:

"The greatest one-year increase in tuition occurred from 1997 to 1998."

Which claim of the given one is valid?

First, some things we need to know.

The rate of increase is larger as more vertical the line is.

Now, let's analyze each one of the claims.

A) "The greatest one-year increase in tuition occurred from 1997 to 1998."

This is true, from 1997 to 1998 the increase was of 1,000, while from 1998 to 1999 and from 1996 to 1997 the increases were of 500.

B) "The rate of increase was the same from year to year."

As you can see, the slope changes, so the rate of change is not the same.

C) "Tuition rates doubled between 1996 and 1999."

False, but the tuition rates doubled between 1997 and 1998.

D) " Tuition rates will continue to increase over the next 5 years."

We don't have enough information to know if this is true, so this claim is not valid.

Then the only correct option is A.

If you want to learn more about linear relations, you can read:

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